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4505133440 = 27518138891
BaseRepresentation
bin1000011001000011…
…01110000110000000
3102121222012111021002
410030201232012000
533211303232230
62023012351132
7216433000553
oct41441560600
912558174232
104505133440
111a02037485
12a589154a8
1356a483242
1430a48469a
151b57a4545
hex10c86e180

4505133440 has 64 divisors (see below), whose sum is σ = 10829866320. Its totient is φ = 1792051200.

The previous prime is 4505133407. The next prime is 4505133463. The reversal of 4505133440 is 443315054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96395 + ... + 135285.

Almost surely, 24505133440 is an apocalyptic number.

4505133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414933160).

4505133440 is an abundant number, since it is smaller than the sum of its proper divisors (6324732880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4505133440 is a wasteful number, since it uses less digits than its factorization.

4505133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39091 (or 39079 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 4505133440 is about 67120.2908217776. The cubic root of 4505133440 is about 1651.5911727468.

Adding to 4505133440 its reverse (443315054), we get a palindrome (4948448494).

The spelling of 4505133440 in words is "four billion, five hundred five million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 320 362 640 724 905 1448 1810 2896 3620 5792 7240 11584 14480 23168 28960 38891 57920 77782 115840 155564 194455 311128 388910 622256 777820 1244512 1555640 2489024 3111280 4978048 6222560 7039271 12445120 14078542 24890240 28157084 35196355 56314168 70392710 112628336 140785420 225256672 281570840 450513344 563141680 901026688 1126283360 2252566720 4505133440